Relative FBN rings and the second layer condition Original Research Article

Various versions of the second layer condition and the relationships between them are studied. It is proved that a right noetherian ring R satisfies the right second layer condition iff every finitely generated tame right R-module is a Δ-module, iff R is right fully tame bounded, meaning that every essential right ideal E/P of a prime factor ring R/P contains a nonzero ideal of R/P whenever R/E is tame.